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Sati [7]
2 years ago
12

Each of the 14 students in the art club needs 4 1/4 ounces of paint for a project. The art store sells paint only in 8 ounce bot

tles. How many bottles of paint does the art club president need to buy for the project?
A - 3
B - 4
C - 7
D - 8
Mathematics
2 answers:
Blababa [14]2 years ago
7 0

Answer:

C-7

Step-by-step explanation:

Answer:  The art club president need to buy 14 bottles of paint for the project.

Step-by-step explanation:  Given that each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles.

We are to find the number of bottles of paint that the art club president need to buy for the project.

We will be using the unitary method to solve the given problem.

Number of bottles filled by 8 ounces of paint = 1.

So, the number of bottles filled by 1 ounce of paint is

So, the number of bottles filled by 4 ounces of paint will be

Now, number of bottles of paint needed by 1 student  

Therefore, the number of bottles of paint needed by 14 students will be

Thus, the art club president need to buy 14 bottles of paint for the project.

notka56 [123]2 years ago
7 0
The answer is C-7!!!
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In ΔKLM, l = 570 cm, k = 490 cm and ∠K=46°. Find all possible values of ∠L, to the nearest degree.
Katen [24]

Step-by-step explanation:

In ΔKLM, l = 570 cm, k = 490 cm and ∠K=46°. Find all possible values of ∠L, to the nearest degree.

K

L

M

k = 490

l = 570

46°

?°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​  

=  

b

sinB

​  

 

From the reference sheet (reciprocal version).

\frac{\sin L}{570}=\frac{\sin 46}{490}

570

sinL

​  

=  

490

sin46

​  

 

Plug in values.

\sin L=\frac{570\sin 46}{490}\approx 0.836783

sinL=  

490

570sin46

​  

≈0.836783

Evaluate.

L=\sin^{-1}(0.836783)\approx 56.8\approx 57^{\circ}

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−1

(0.836783)≈56.8≈57  

∘

 

Inverse sine and round.

\text{Quadrant II: } 180-57=123^{\circ}

Quadrant II: 180−57=123  

∘

 

Sine is positive in quadrants 1 and 2.

\text{Check for possibility:}

Check for possibility:

No triangle's angles may add to more than 180.

46+57=103

46+57=103  

∘

←Possible

Less than 180.

46+123=169}

46+123=169  

∘

←Possible

Less than 180.

 

Answer: 57  

 and 123  

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